BITSAT Vector Algebra — practice questions
36 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice BITSAT Vector Algebra in the app →
Two vectors $\vec{a}$ and $\vec{b}$ are drawn The dot product (scalar product) of two vectors $\vec{a}$ and $\vec{b}$ is:Two non-zero vectors $\vec{a}$ and $\vec{b}$ are perpendicular if and only if:The cross product $\vec{a} \times \vec{b}$ of two vectors has magnitude:Two vectors of magnitudes $3$ and $4$ are perpendicular to each other. The magnitude of their resultant is:If three vectors $\vec{a}$, $\vec{b}$ and $\vec{c}$ are coplanar, then their scalar triple product $\vec{a} \cA quantity having only magnitude (no direction) is called:Vector addition is:The dot product ā · b̄ is:The cross product ā × b̄ is:What is î × ĵ?Two vectors are PERPENDICULAR iff:Two vectors are PARALLEL (or anti-parallel) iff:The MAGNITUDE of a × b equals:Find magnitude of ā = 3î + 4ĵ:Find ā · b̄ if ā = 2î + 3ĵ and b̄ = î - 2ĵ:Find ā × b̄ where ā = î + 2ĵ + k̂ and b̄ = 2î + ĵ + 3k̂:Angle between two vectors ā = 2î + 2ĵ and b̄ = 4î - 4ĵ:Find unit vector in direction of ā = 3î + 4ĵ:Area of parallelogram formed by ā and b̄ equals:Position vectors of P and Q are p̄ and q̄. The point R divides PQ internally in ratio m:n. Position vector of Three vectors ā, b̄, c̄ are coplanar iff their SCALAR TRIPLE PRODUCT [ā b̄ c̄] equals:For vectors ā = î + ĵ and b̄ = î - ĵ, find |ā + b̄|:Projection of ā = 3î + 4ĵ on b̄ = î + ĵ:If ā × b̄ = 0 and neither is the zero vector, then:Volume of parallelepiped formed by ā, b̄, c̄:For unit vectors î, ĵ, k̂: î · ĵ + ĵ · k̂ + k̂ · î =For vectors ā = î - ĵ + 2k̂ and b̄ = 3î + 2ĵ - k̂, find the AREA of the parallelogram formed (use |ā × b̄|):Find cos θ for ā = 2î + 3ĵ - 4k̂ and b̄ = î + 2ĵ + 3k̂ (where θ is the angle between them):Find scalar triple product [î ĵ k̂]:Vectors ā = î + 2ĵ + 3k̂ and b̄ = 2î + 3ĵ + αk̂ are perpendicular. Find α:For vectors ā = î - ĵ + 2k̂ and b̄ = 3î + 2ĵ - k̂, find the area of triangle formed:Find angle θ between ā = 2î + 3ĵ - 4k̂ and b̄ = î + 2ĵ + 3k̂ (use cos θ = ā·b̄/(|ā||b̄|)):For ā = 2î + 3ĵ and b̄ = αî + 6ĵ to be parallel, α equals:If [ā b̄ c̄] = 5, find [2ā b̄ c̄]:Vector r̄ is collinear with ā = î - 2ĵ + 2k̂ and |r̄| = 12. Find r̄: